Now, if we multiply a number by its reciprocal, it gives a value equal to 1. In order to find the reciprocal of a mixed fraction, convert it into improper fraction first and then apply the same rule we learnt above. Our Reciprocal Calculator easily finds reciprocals for fractions and mixed numbers.

  • For example, the reciprocal of 4 is one fourth (1/4 or 0.25), and the reciprocal of 0.5 is 1 divided by 0.5, or 2.
  • It is also expressed by the number raised to the power of negative one and can be found for fractions and decimal numbers too.
  • The product of a given number and its reciprocal will always give the value 1.
  • Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property.
  • Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
  • This allows us to figure out how to find the reciprocal of a fraction.

Hence, it returns its original value, if we take the reciprocal of an inverted number. In this article, we are going to learn the definition of reciprocal, how to find the reciprocal of numbers, fractions and decimals with many examples. This excellent video explains how to find the reciprocal of a whole number, a fraction, as well as, the reciprocal of a mixed number. Because, if any reciprocal number is multiplied by 0, it will not give the product as 1.

Check out our other math calculators such as Convolution Calculator and Greatest Common Divisor Calculator. There is no limitation on the length of the resultant decimal, for this we use arbitrary-precision decimal arithmetic. When you verify both the solutions, it results in the same. The reciprocal of a decimal is the same as it is for a number defined by one over the number. In other words, the reciprocal of a number is defined as the one divided by the given number.

Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal. If the reciprocal of a fraction is an improper fraction you can find its mixed number representation simply by clicking the ‘Calculate’ button again. If the reciprocal of a decimal is a repeating decimal the repetend is enclosed in parentheses.

To find the reciprocal of a complex number, you can use our Complex Numbers Calculator by simply dividing 1 by that complex number. The reciprocal of a fraction can be found by interchanging the numerator and the denominator values. In maths, when you take the reciprocal twice, you will get the same number that you started with. The word reciprocal came from the Latin word “reciprocus” meaning “returning”.

How to Find the Reciprocal of a Mixed Number?

It is easy to understand that multiplying by a number is equal to dividing by its reciprocal and vice versa. This allows us to figure out how to find the reciprocal of a fraction. This online Reciprocal Calculator finds the reciprocal of a decimal number or a fraction (proper, improper or mixed number).

Reciprocal of a Fraction

The reciprocal of a number is simply the number that has been flipped or inverted upside-down. This entails transposing a number such that the numerator and denominator are placed at the bottom and top respectively. Reciprocals are helpful in all sorts of algebraic equations. For example when you are dividing one fraction by another you multiply the first by the Reciprocal of the 2nd.

If each cow produces one-third of total milk produced in a day. How many cows are in the farm if 7700 liters of milk is produced weekly. Since finding the reciprocal of a real number is reduced to division, the result of such a division can be either a terminating decimal or a repeating decimal. If, when dividing, you end up with a remainder of zero, then you have a terminating decimal.

Reciprocal of a Mixed Fraction

  • Since finding the reciprocal of a real number is reduced to division, the result of such a division can be either a terminating decimal or a repeating decimal.
  • For any negative number -x, the reciprocal can be found by writing the inverse of the given number with a minus sign along with that (i.e) -1/x.
  • Reciprocals are helpful in all sorts of algebraic equations.
  • If the reciprocal of a fraction is an improper fraction you can find its mixed number representation simply by clicking the ‘Calculate’ button again.

Go through the following steps to find the reciprocal of the negative number. In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x. This means that the product of a number x and its reciprocal yields 1. The most important application of reciprocal is used in division operation for fractions. Now, you get the fraction and do the same operation for finding the reciprocal by flipping the numerator and the denominator.

Reciprocal of Negative Numbers

If the given number is multiplied by its reciprocal, we get the value 1. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. Watch your kids fall in love with math & reading through our scientifically designed curriculum. To find the reciprocal of a Mixed Fraction, we first convert it to an Improper Fraction, then turn that upside down. To get the reciprocal of a fraction, just turn it upside down.In other words swap over the Numerator and Denominator. To get the reciprocal of a fraction, just turn it upside down.

Multiplying a Fraction by its Reciprocal

If a reciprocal is an improper fraction you can find its representation as a mixed number simply by clicking the ‘Calculate’ button again or vice versa. A reciprocal or multiplicative inverse of a number x, denoted by 1/x or x−1, is the number such that if multiplied by x the result is multiplicative identity, 1. For example, the reciprocal of 4 is one fourth (1/4 or 0.25), and the reciprocal of 0.5 is 1 divided by 0.5, or 2. The first step is to convert a mixed fraction into an improper fraction. For any negative number -x, the reciprocal can be found by writing the inverse of the given number with a minus sign along with that (i.e) -1/x.

Reciprocal Calculator

The numerator and the denominator of a fraction are separated by the slash symbol (/) with no spaces in between. It is important to leave space between the whole number and the fraction part of a mixed number. The reciprocal is defined as the multiplicative inverse of a number. In other words, the reciprocal of a number is defined as 1 divided by that number.

The product of a given number and its reciprocal will always give the value 1. To find the reciprocal of 1/4, invert the numerator and denominator. To find the reciprocal of a whole number, just convert it into a fraction in which the original number is the denominator and the numerator is 1. To find the reciprocal of a number, just flip its fraction form. All calculations in our Reciprocal Calculator do not involve the use of complex numbers.

You might also need reciprocals when finding equations of lines. The reciprocal of a fraction can be determined by interchanging the values of the numerator and denominator. Similarly, the reciprocal of a the reciprocal of 7 fraction can be written by interchanging the values of the numerator and the denominator.